100003313040 has 80 divisors (see below), whose sum is σ = 310057238400. Its totient is φ = 26663510016.

The previous prime is 100003313029. The next prime is 100003313083. The reversal of 100003313040 is 40313300001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1769541 + ... + 1825179.

It is an arithmetic number, because the mean of its divisors is an integer number (3875715480).

Almost surely, 2^100003313040 is an apocalyptic number.

100003313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100003313040 is an abundant number, since it is smaller than the sum of its proper divisors (210053925360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100003313040 is a wasteful number, since it uses less digits than its factorization.

100003313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63144 (or 63138 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100003313040 its reverse (40313300001), we get a palindrome (140316613041).

The spelling of 100003313040 in words is "one hundred billion, three million, three hundred thirteen thousand, forty".